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4290806016 = 28327266047
BaseRepresentation
bin1111111111000000…
…1000000100000000
3102002000220112022100
43333300020010000
532241421243031
61545434510400
7211221151350
oct37760100400
912060815270
104290806016
111902059082
129b8b95400
13534c50793
142c9c12b60
151a1a69de6
hexffc08100

4290806016 has 108 divisors (see below), whose sum is σ = 14138854912. Its totient is φ = 1225939968.

The previous prime is 4290806011. The next prime is 4290806017. The reversal of 4290806016 is 6106080924.

4290806016 is a `hidden beast` number, since 42 + 9 + 0 + 8 + 0 + 601 + 6 = 666.

It is a super-2 number, since 2×42908060162 = 36822032533883584512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4290806011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116896 + ... + 149151.

Almost surely, 24290806016 is an apocalyptic number.

It is an amenable number.

4290806016 is an abundant number, since it is smaller than the sum of its proper divisors (9848048896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4290806016 is a wasteful number, since it uses less digits than its factorization.

4290806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266076 (or 266059 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4290806016 is about 65504.2442594371. The cubic root of 4290806016 is about 1624.9735400504.

The spelling of 4290806016 in words is "four billion, two hundred ninety million, eight hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 266047 532094 798141 1064188 1596282 1862329 2128376 2394423 3192564 3724658 4256752 4788846 5586987 6385128 7449316 8513504 9577692 11173974 12770256 14898632 16760961 17027008 19155384 22347948 25540512 29797264 33521922 34054016 38310768 44695896 51081024 59594528 67043844 68108032 76621536 89391792 102162048 119189056 134087688 153243072 178783584 204324096 238378112 268175376 306486144 357567168 476756224 536350752 612972288 715134336 1072701504 1430268672 2145403008 4290806016